The Bicomplex Tensor Product and a Bicomplex Choi Theorem

Authors

Daniel Alpay, Chapman UniversityFollow
Antonino De Martino, Politecnico di Milano
Kamal Diki, Chapman UniversityFollow
Mihaela Vajiac, Chapman UniversityFollow

Document Type

Article

Publication Date

8-21-2024

Abstract

In this paper we extend the concept of tensor product to the bicomplex case and use it to prove the bicomplex counterpart of the classical Choi theorem in the theory of complex matrices and operators. The concept of hyperbolic tensor product is also discussed, and we link these results to the theory of quantum channels in the bicomplex and hyperbolic case.

Comments

This article was originally published in Physica Scripta, volume 99, in 2024. https://doi.org/10.1088/1402-4896/ad6bd4

Recommended Citation

Daniel Alpay et al 2024 Phys. Scr. 99 095245 https://doi.org/10.1088/1402-4896/ad6bd4

Peer Reviewed

1

Copyright

The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.